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Finding the Fourth Proportional to 1,678.06, 2,516.97 and 523.78

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Solution

The fourth proportional to 1,678.06, 2,516.97 and 523.78 is: 785.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.06 : 2,516.97 = 523.78 : x
  2. Step 2: Convert to fraction form
    1,678.06/2,516.97 = 523.78/x
  3. Step 3: Cross multiply
    1,678.06x = 2,516.97 × 523.78
  4. Step 4: Simplify right side
    1,678.06x = 1,318,338.55
  5. Step 5: Solve for x
    x = 1,318,338.55/1,678.06
  6. Step 6: Final answer
    x = 785.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.